This isn't even conspiracy loads of people report Alexa going off randomly without any sort of prompt. Don't tell me the device isn't listening closely to every little conversation you have.

This definitely is conspiracy. You're claiming that Amazon is secretly conspiring to make Alexa devices behave differently than they advertise them to. That's like the definition of conspiracy lol. But that aside, I really don't believe this. What's the exact claim, that they're always listening? No, they don't. People can analyze the traffic and tell that's false. That they're intentionally overly sensitive? I have an easier time beginning to buy that but I still think we'd see more quantitative articles about that if it were true. Like we haven't had whistle blowers or security researchers saying anything like that.